Abstract:
In a previous Your Homework Assignment, I introduced the cellular automata fluid model of Hardy, Pomeau, and de Pazzis (HPP). Although their model captures the microscopic behaviour of particles, the square nature of their grid restricts the possible interactions so much that the model cannot reproduce the Navier-Stokes equations in the continuous limit. Thus, a more complex grid that allows for more particle interaction is required for accurate fluid simulations. Here, I show the Lattice Gas Cellular Automata (LGCA) model of Frisch, Hasslacher, and Pomeau (FHP). This model uses a hexagonal grid of cells, allowing partices to propagate in six possible directions, thus increasing the degrees of freedom and accuracy of the simulation. Our final result will be a demonstration of a Kármán vortex sheet caused by vortex sheding, something that is not possible to reproduce with simpiler models.